Fundamentals of Wave Phenomena

by Hirose, Akira; Lonngren, Karl E.

• ISBN13: 9781891121920
• ISBN10: 1891121928
• Edition: 2nd
• Format: Hardcover
• Copyright: 2010-03-15
• Publisher: Scitech Pub Inc

Summary

This textbook is written for use in any university course related to the physics of waves, wave theory, and electromagnetic waves in departments such as Physics, Electrical Engineering, Mechanical Engineering, Civil Engineering, and Mathematics. The only prerequisite knowledge is a course in calculus. This textbook provides a unified treatment of waves that either occur naturally or can be excited and propagate in various media. This includes both longitudinal and transverse waves. The book covers both mechanical and electrical waves, which are normally covered separately due to their differences in physical phenomena. This text focuses more on the similarities of all waves, mechanical or electromagnetic, and therefore allows the reader to formulate a unified understanding of wave phenomena in its totality. This second edition contains extensive updates and advances in the understanding of wave phenomena since the publication of the first edition (1985). Numerous additional problems are now present and several chapters have been rewritten and combined.

Author Biography

Akira Hirose received his B.Sc. and M.Sc. from Yokohama National University, and Ph.D. from the University of Tennessee, Knoxville, all in electrical engineering. After a postdoctoral fellowship at Oak Ridge National Laboratory, he joined the Plasma Physics Laboratory, University of Saskatchewan, where he is Professor and Director. He has authored and coauthored more than 300 journal articles. He is a Fellow of APS, IEEE, and the Royal Society of Canada (Academy of Science), and has been Canada Research Chair since 2001. Karl E. Lonngren received his B.S., M.S., and Ph.D. from the Department of Electrical Engineering at the University of Wisconsin-Madison. He has been a Professor in the Department of Electrical and Computer Engineering and Physics and Astronomy at the University of Iowa since 1965. He is the author or coauthor of more than 200 journal articles and 5 technical books. He is a Fellow of the IEEE and the APS and a recipient of the Distinguished Service Citation from the University of Wisconsin.

Table of Contents

Preface	p. xi
Publisher's Acknowledgements	p. xv
Review of Oscillations	p. 1
Introduction	p. 1
Mass Spring System	p. 2
Energy Tossing in Mechanical Oscillations	p. 7
Other Mechanical Oscillation Systems	p. 11
Electromagnetic Oscillation	p. 17
Damped Oscillation	p. 19
Forced Oscillation	p. 22
Problems	p. 24
Wave Motion	p. 29
Introduction	p. 29
Creation of Waves on a String	p. 30
Sinusoidal (Harmonic) Waves	p. 33
Wave Differential Equation, Partial Differentiation	p. 37
Nonsinusoidal Waves	p. 42
Phase and Group Velocities, Dispersion	p. 44
Superposition of Two Waves, Beats	p. 47
Problems	p. 51
Some Mathematics	p. 53
Taylor Series Expansion	p. 53
Complex Numbers and Variables	p. 56
Problems	p. 59
Fundamentals of Mechanical Waves	p. 61
Introduction	p. 61
Mass-Spring Transmission Line	p. 62
Derivation of a Wave Equation	p. 64
Energy Carried by Waves	p. 68
Momentum Carried by Waves	p. 71
Hydrogen Atom	p. 302
de Broglie Wave	p. 305
Problems	p. 306
Fourier Analyses and Laplace Transformation	p. 307
Introduction	p. 307
Sum of Sinusoidal Functions	p. 308
Fourier Series	p. 311
Fourier Spectrum	p. 314
Operator Method	p. 318
Laplace Transform	p. 323
Problems	p. 328
Nonlinear Waves, Solitons, Shocks, and Chaos	p. 331
Introduction	p. 331
Nonlinear Oscillations	p. 331
Nonlinear Wave Equation	p. 337
Fermi, Pasta, and Ulam Recurrence Phenomena	p. 343
KdV Soliton Properties	p. 346
Shocks	p. 352
Chaos	p. 354
Conclusion	p. 360
Problems	p. 360
Constants and Units	p. 363
Fundamental Physical Constants	p. 363
Definition of Standards	p. 363
Derived Units of Physical Quantities and Notation	p. 364
Trigonometric Identities, Calculus, and Laplace Transforms	p. 366
Trigonometric Identities	p. 366
Calculus	p. 367
Power Series	p. 368
Laplace Transforms	p. 369
References	p. 371
Answers to Selected Problems	p. 372
Index	p. 377
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